Pith Number

pith:DML6SY6C

pith:2012:DML6SY6CUZFMEWJRPSG2A4U6BM

not attested not anchored not stored refs pending

Riemannian Polyhedra and Liouville-type Theorems for Harmonic maps

Zahra Sinaei

arxiv:1209.5889 v3 · 2012-09-26 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DML6SY6CUZFMEWJRPSG2A4U6BM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:32:31.223933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b17e963c2a64ac259317c8da0729e0b070bbd204d8536ce55a74e67a586dc78

Aliases

arxiv: 1209.5889 · arxiv_version: 1209.5889v3 · doi: 10.48550/arxiv.1209.5889 · pith_short_12: DML6SY6CUZFM · pith_short_16: DML6SY6CUZFMEWJR · pith_short_8: DML6SY6C

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DML6SY6CUZFMEWJRPSG2A4U6BM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1b17e963c2a64ac259317c8da0729e0b070bbd204d8536ce55a74e67a586dc78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ea6776d46f20f2cc63a79d2d489644b1d596a8d802f1df510d03adbfa54b5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-09-26T10:10:54Z",
    "title_canon_sha256": "8133a88057b9349ce74e061baa9b09a52f19175bd32501884a5d82d28bb68998"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5889",
    "kind": "arxiv",
    "version": 3
  }
}